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Finding the Fourth Proportional to 30,989.60, 42,765.42 and 16,842.56

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Solution

The fourth proportional to 30,989.60, 42,765.42 and 16,842.56 is: 23,242.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,989.60 : 42,765.42 = 16,842.56 : x
  2. Step 2: Convert to fraction form
    30,989.60/42,765.42 = 16,842.56/x
  3. Step 3: Cross multiply
    30,989.60x = 42,765.42 × 16,842.56
  4. Step 4: Simplify right side
    30,989.60x = 720,279,152.28
  5. Step 5: Solve for x
    x = 720,279,152.28/30,989.60
  6. Step 6: Final answer
    x = 23,242.61

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.